Units of Measure
Trigonometry

# Revolutions per minute to linear velocity?

123 ###### 2014-05-22 16:30:45

After any whole number of revolutions, the total displacement is zero

and so the average velocity is zero.

At any instant, the magnitude (speed component) of instantaneous velocity is

(pi) x (distance from center of rotation) x (RPM / 30) units per second.

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## Related Questions are a measure of angular velocity whereas metres per minute are a measure of linear velocity. Its The Cpu's Revolutions Per Minute No its not the cpu's revolutions per minute lol. Its the hard drive revolutions per minute. Not really, no. Friction is relentlessly frictious. Basically, do you think it would be better to put your face on a belt-sander spinning at 500 revolutions per minute or 200 revolutions per minute? See? The velocity is irrelevant. revolutions are angular velocity (w), so you need to know radius (r) to convert to velocity (v) meters per second. not linear velocity. v = wr. For example 30 revs per min is 30/60 revs per second; over a 2 meter radius velocity is 30/ 60 x 2 = 1 meter per second orwhere P is the power in watts&tau; is the torque in newton metres&omega; is the angular velocity in radians per secondF is the force in newtonsv is the linear velocity in metres per secondDivision by a conversion constant may be required depending on the units of measure used.For imperial units,where Php is the power in horsepower&tau;lb&middot;ft is the torque in pound-feet&omega;RPM is the rotational velocity in revolutions per minuteFor metric units,where PkW is the power in kilowatts&tau;N&middot;m is the torque in newton metres&omega;rpm is the rotational velocity in revolutions per minute Angular velocity means how fast something is turning around. Often measured in radians per second, or revolutions per minute. You cannot. Revolutions per minute are a measure of angular velocity whereas metres per minute are a measure of linear velocity. There is no simple way to convert from one to the other. For example, at any given rpm, a point on the rim of a wheel is moving much faster than a point near the hub. You need the distance of a point from the axis of revolution (in metres) to convert angular speed to linear speed. If the distance from the centre is r metres then the point moves through 2*pi*r metres every revolution. ie 1 rpm = 2*pi*r linear metres per minute. 1 revolution = 2PI radian. 2 revolutions = 4PI radian The angular speed of the Ferris wheel is 4PI radians . Multiply by the radius. The linear speed is 100PI feet per minute.  Revolutions Per Minute Rotations Per Minute  Revolutions per minute or rounds per minute  (linear velocity) = (angular velocity) x radius All angles must be in radians - and angular velocity in radians / (some time unit), for example, radians/seconds. If you have other units, you must convert. For example, if you have 10 degrees a minute, you can multiply by (pi / 180) to convert to radians/minute. If you have revolutions per second, you can multiply by 2 x pi, to convert to radians per second. 1. You need circular motion for the conversion to work. If the motion is not circular, things are more complicated. speed is measured in revolutions per second, revolutions per minute, or revolutions per hour, typically   7,200 revolutions per minute compared to 5,400 revolutions per minute. The dimension of angular velocity is reciprocal time . . . 1/time or T-1 . It'll be stated as "some angle" per "unit of time", like "45 revolutions per minute", and angles are dimensionless. Revolutions Per Minute ( RPM )   It means how fast something rotates. Rather than taking the linear speed (meters per second, or some other common unit of speed), the angular velocity is specified in radians per second, degrees per second, revolutions (full turns) per minute, or something similar. By this definition, each part of a solid, rotating object rotates at the same angular speed.  The revolutions per minute of a bike wheel depends on the size of the wheel, the speed you are riding, and other factors. It is generally thought it can spin at 2 revolutions per second.

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